{"paper":{"title":"Cohomologie des foncteurs polynomiaux sur les groupes libres","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CT","math.RA"],"primary_cat":"math.KT","authors_text":"Aur\\'elien Djament (LMJL), Christine Vespa (IRMA), Teimuraz Pirashvili","submitted_at":"2014-09-02T08:37:19Z","abstract_excerpt":"We show that extension groups between two polynomial functors on free groups are the same in the category of all functors and in a subcategory of polynomial functors of bounded degree. We give some applications. \n---- \nOn montre que les groupes d'extensions entre foncteurs polynomiaux sur les groupes libres sont les m\\^emes dans la cat\\'egorie de tous les foncteurs et dans une sous-cat\\'egorie de foncteurs polynomiaux de degr\\'e born\\'e. On donne quelques applications."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0629","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}